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Finding the Fourth Proportional to 935.78, 1,402.12 and 661.31

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Solution

The fourth proportional to 935.78, 1,402.12 and 661.31 is: 990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.78 : 1,402.12 = 661.31 : x
  2. Step 2: Convert to fraction form
    935.78/1,402.12 = 661.31/x
  3. Step 3: Cross multiply
    935.78x = 1,402.12 × 661.31
  4. Step 4: Simplify right side
    935.78x = 927,235.98
  5. Step 5: Solve for x
    x = 927,235.98/935.78
  6. Step 6: Final answer
    x = 990.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.